What is the greatest common factor of 30 and 40?

Answer 1

Answer:

The greatest common factor of 30 and 40 is 10.

The common factors of 30 and 40 are 1, 2, 5, and 10.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The common factors are 1, 2, 5, and 10. Therefore, the greatest common factor is 10.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 30 are 2, 3, and 5.

The prime factors of 40 are 2, 2, 2, and 5.

The common prime factors are 2 and 5, so the greatest common factor is 2 x 5 = 10.
10

Answer 2

The Greatest Common Factor (GCF) of 30 and 40 is: 10

Answer 3

10